A Bi-Extremal Principle for Estimating Efficiency Frontier Parameter Values.

Abstract

A new approach is supplied for evaluating the efficiency of decision making units, locating efficiency frontiers and estimating parameters from observational data. This is accomplished by means of a nonlinear-nonconvex bi-extremal principle which is subsequently shown to be essentially reducible to a finite sequence of linear programming problems. The development is illustrated by means of multiple output functions which are piecewise of Cobb-Douglas or general log linear type and which also allow for increasing, decreasing and constant returns to scale. The reduction of the bi-extremal principle to linear programming equivalence is also accomplished for much more general classes of functions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA068992

Entities

People

  • A. P. Schinnar
  • Abraham Charnes
  • William W. Cooper

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Computer Programming
  • Contracts
  • Ecology
  • Economics
  • Efficiency
  • Linear Programming
  • Mathematical Programming
  • Military Research
  • New York
  • Pennsylvania
  • Sequences
  • Systems Engineering
  • Universities

Fields of Study

  • Mathematics

Readers

  • Geochemistry
  • Operations Research
  • Regression Analysis.